Understanding Complex Systems

Chaos: Concepts, Control and Constructive Use

Authors: Bolotin, Yurii, Tur, Anatoli, Yanovsky, Vladimir

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  • Offers a concise introduction to the key concepts and control of chaos in dynamical systems
  • Explores, in this second edition, the many interfaces of quantum physics and dynamical systems
  • Examines the potential role of chaos as control parameter itself in applications
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eBook 79,72 €
price for Spain (gross)
  • ISBN 978-3-319-42496-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
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  • Immediate eBook download after purchase
Hardcover 100,87 €
price for Spain (gross)
  • ISBN 978-3-319-42495-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 100,87 €
price for Spain (gross)
  • ISBN 978-3-319-82592-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This book offers a short and concise introduction to the many facets of chaos theory.

While the study of chaotic behavior in nonlinear, dynamical systems is a well-established research field with ramifications in all areas of science, there is a lot to be learnt about how chaos can be controlled and, under appropriate conditions, can actually be constructive in the sense of becoming a control parameter for the system under investigation, stochastic resonance being a prime example.

The present work stresses the latter aspects and, after recalling the paradigm changes introduced by the concept of chaos, leads the reader skillfully through the basics of chaos control by detailing the relevant algorithms for both Hamiltonian and dissipative systems, among others.

The main part of the book is then devoted to the issue of synchronization in chaotic systems, an introduction to stochastic resonance, and a survey of ratchet models. In this second, revised and enlarged edition, two more chapters explore the many interfaces of quantum physics and dynamical systems, examining in turn statistical properties of energy spectra, quantum ratchets, and dynamical tunneling, among others.

This text is particularly suitable for non-specialist scientists, engineers, and applied mathematical scientists from related areas, wishing to enter the field quickly and efficiently.


From the reviews of the first edition:

This book is an excellent introduction to the key concepts and control of chaos in (random) dynamical systems [...] The authors find an outstanding balance between main physical ideas and mathematical terminology to reach their audience in an impressive and lucid manner. This book is ideal for anybody who would like to grasp quickly the main issues related to chaos in discrete and continuous time. Henri Schurz, Zentralblatt MATH, Vol. 1178, 2010.

Reviews

“The book is an introduction to the key concepts and control of chaos in dynamical systems. … The book is an excellent reference for physicists, engineers, applied mathematicians and scientists in related areas, interested in the main aspects of controlling chaos in dynamical systems.” (Iuliana Oprea, Mathematical Reviews, November, 2017)

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook 79,72 €
price for Spain (gross)
  • ISBN 978-3-319-42496-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 100,87 €
price for Spain (gross)
  • ISBN 978-3-319-42495-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 100,87 €
price for Spain (gross)
  • ISBN 978-3-319-82592-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Chaos: Concepts, Control and Constructive Use
Authors
Series Title
Understanding Complex Systems
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-42496-5
DOI
10.1007/978-3-319-42496-5
Hardcover ISBN
978-3-319-42495-8
Softcover ISBN
978-3-319-82592-2
Series ISSN
1860-0832
Edition Number
2
Number of Pages
XI, 281
Number of Illustrations
119 b/w illustrations
Topics